Pick a country. Find the percent growth/decay rate for the population. Use this data and the current population to find an exponential model for the population as a function of years. Use your model to estimate what the population of this country will be in 5 years.

Q: Researchers find that there are 70 Raccoons on an island. When they return a year later, they find…

A: Given information Original population=70 New population=84 We have to find the annual growth factor…

Q: Find the equation for an exponential function

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Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: The exponential growth model is defined as, y = a(1 + r)t, where a is the initial amount, r is the…

Q: Describe what the values of C and k represent in the exponential growth and decay model y = Cekt.

A: For t=0,  So the initial value is C

Q: find the exponential model that fits the points (2,9) and (0,1)

A: According to the problem, we have

Q: Diseases tend to spread according to the exponential growth model. In the early days of a pandemic,…

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Q: Write an exponential function that has an initial value of $200 and a growth rate of 5%.

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Q: Write an exponential model for a population that started with 13 animals and is growing at an annual…

A: y=a(b)x a is the initial value b is the growth rate=1+r

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: Given ,  The population of the world in 1987 was 5 billion and the annual growth rate was estimated…

Q: The population of the city is declining according to the exponential law. if the population went…

A: To find the population in 2022

Q: f the population of a certain county was 100,000 in 1998 and 110,585 in 2008, and if the population…

A: Given: The population of a certain county was 100,000 in 1998 and 110,585 in 2008.   Formula used:…

Q: What is the exponential decay?

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Q: Cell phones begin to lose (resale) value immediately after purchase. After one year, an iPhone can…

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Q: Explain the mathematical model for the exponential growth or decay.

A: Explain the mathematical model for the exponential growth or decay

Q: A fish population starts at 8,000 and decreases by 6% per year. Write an exponential decay function,…

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Q: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2…

A: According to the question: Given that: The population of the world in 1987 was 5 billion So, P1987=5…

Q: In 2013, the population of a colony is 18500, and is increasing exponentially at a rate of 10.7% per…

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Q: During a certain period of time, a population of 70 northern sea otters had an annual growth of 18%.…

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Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential…

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Q: The population of a certain community follows the law of exponential change. If the present…

A: Topic = Algebra

Q: The median house price in the Pickering Region increased by 5.8% from January 1, 2019 to January 1,…

A:

Q: Consider the model for exponential growth or decay given by A = A0 ekt.If k_____ , the function…

A: Exponential growth and decay model: The mathematical model for exponential growth and decay is given…

Q: Alcohol After a large number of drinks, a person has a blood alcohollevel of200 mg/dL (milligrams…

A: Solution:GivenA=200To find the exponential modelLet the exponential function be y=Abt

Q: Write an exponential model for a population that started with 540 animals and is shrinking at an…

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Q: Due to economic factors, the population of a town decreased exponentially from 2007-2017. The given…

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Q: The 2010 population of Asia was 4121 million; in 2050, it is projected to be 5231 million. Write the…

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Q: In each case, state whether the described growth and/or decay is linear or exponential, and explain…

A: a) Given the insect population on land has been decreasing by 9% per decade. This means the…

Q: Write an equation for an exponential growth function   y=f(x) where the initial population is 3000…

A: Given,Initial Population is 3000Growth factor is 1.085

Q: Determine whether the equation could represent exponential growth or decay. growth b. decay a. с.…

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Q: An exponential function has a growth of 1.05. What is the percentage growth rate?

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Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: Given query is to find the population of the world after 5 years.

Q: Create a table of values and sketch the exponential function: y = 2.0(4)x

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Q: Does the following exponential function represent growth or decay? y= 0.25(1.2)*. %3D growth decay

A: Concept:

Q: The population of Earth is approximately 6.8 billion people and is growing at an annual rate of…

A: Given , Present population P=6.8 billion, Rate R=1.133% Time t=30 year, Aim:- To find population…

Q: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2…

A: Standard equation of a exponential growth is y= a(1+r)x here y gives population after x years. a is…

Q: The bones of a newly discovered dinosaur weigh 170 pounds and measure 9 feet, with a 6-inch claw on…

A:

Q: The first recorded population of a particular country was 22 million and the population was 34…

A: Given,The first recorded population of a particular country was 22 million and the population after…

Q: The current student population of Dallas is 1500. If the population increase at a rate of 11% each…

A: It is given that the present students are 1500(P). The rate of growth(R) is 11%.

Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of Town…

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Q: Suppose the retail price of an automobile is ​$34,000 in 1994 and that it increases at 5​% per year.…

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Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Q: A population numbers 567 organisms initially and increases by 2.4% each year. Suppose P represents…

A: Given data is : The initial population of an organism is P0=567 Increases by 2.4% each year,…

Q: The value of a collectible toy is increasing exponentially. The

A: Given the collectible toy is increased exponentially. The two points on the graph show the toy's…

Q: The bones of a newly discovered dinosaur weigh 170 pounds and measure 9 feet, with a 6-inch claw on…

A: We have to show that the decay model for the radioactive substance is given by A=A0e-0.56353t, where…

Q: The exponential growth model A= 50e0.07t describes the population of a city in the Philippines in…

A: Given exponential growth model is A=50e0.07t describe the population of a city in the Philippines in…

Q: The current student population of New Orleans is 1900. If the population increase at a rate of 13%…

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Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential…

A: Let the model be Pt=P0.ekt→(1) Consider t=0 as 1990 P0 is the population when t=0, Therefore,…

Q: The bones of a newly discovered dinosaur weigh 170 pounds and measure 9 feet, with a 6-inch claw on…

A: Solve by putting the condition of half life

Q: The count in a bacteria culture was 900 after 10 minutes and 1500 after 30 minutes. Assuming the…

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Q: The count in a bacteria culture was 800 after 15 minutes and 2000 after 40 minutes. Assuming the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.